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Finding the Third Proportional to 172,787.25 and 270,467.25

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Solution

The third proportional to 172,787.25 and 270,467.25 is: 423,367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,787.25 : 270,467.25 = 270,467.25 : x
  2. Step 2: Convert to fraction form
    172,787.25/270,467.25 = 270,467.25/x
  3. Step 3: Cross multiply
    172,787.25x = 270,467.25 × 270,467.25
  4. Step 4: Simplify right side
    172,787.25x = 73,152,533,322.56
  5. Step 5: Solve for x
    x = 73,152,533,322.56/172,787.25
  6. Step 6: Final answer
    x = 423,367.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.